Simplifying rational expression

The video tutorial covers basic concepts of simplifying expressions, emphasizing the importance of not dividing terms across addition. It introduces factoring as a method to simplify expressions and highlights the need to consider restrictions, such as avoiding zero in the denominator. The lesson concludes with a final simplification example, reinforcing the key points discussed.

What should you avoid doing when simplifying expressions with addition?

• Subtracting terms across addition

• Adding terms across addition

• Multiplying terms across addition

• Dividing terms across addition

What is the first step in factoring an expression like 4M + 16?

• Factor out the greatest common factor

• Multiply the terms by 2

• Add the terms together

• Divide by the smallest term

Why is it important to consider restrictions when simplifying expressions?

• To ensure the denominator is not zero

• To ensure the expression is positive

• To ensure the expression is negative

• To ensure the numerator is not zero

What value of N would make the denominator zero in the expression N + 4?

• 4

• 8

• -4

• 0

What is the final simplified form of the expression 4(N + 4) / (N + 4) with restrictions?

• N, where N cannot equal -4

• 4(N + 4), where N cannot equal 0

• 4, where N cannot equal -4

• N + 4, where N cannot equal 4